1
IIT-JEE 2012 Paper 1 Offline
+3
-1

Young's double slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are $$\beta$$G, $$\beta$$R and $$\beta$$B, respectively. Then,

A
$$\beta$$G > $$\beta$$B > $$\beta$$R
B
$$\beta$$B > $$\beta$$G > $$\beta$$R
C
$$\beta$$R > $$\beta$$B > $$\beta$$G
D
$$\beta$$R > $$\beta$$G > $$\beta$$B
2
IIT-JEE 2012 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields $$\overrightarrow E = {E_0}\widehat j$$ and $$\overrightarrow B = {B_0}\widehat j$$. At time t = 0, this charge has velocity $$\overrightarrow v$$ in the xy-plane, making an angle $$\theta$$ with the x-axis. Which of the following option(s) is(are) correct for time t > 0 ?

A
If $$\theta$$ = 0$$^\circ$$, the charge moves in a circular path in the xy-plane.
B
If $$\theta$$ = 0$$^\circ$$, the charge undergoes helical motion with constant pitch along the y-axis.
C
If $$\theta$$ = 10$$^\circ$$, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.
D
If $$\theta$$ = 90$$^\circ$$, the charge undergoes linear but accelerated motion along the y-axis.
3
IIT-JEE 2012 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,

A
a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is open.
B
a low-pressure pulse starts travelling up the pipe, it the other end of the pipe is open.
C
a low-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.
D
a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed.
4
IIT-JEE 2012 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

A small block of mass 0.1 kg lies on a fixed inclined plane PQ which makes an angle $$\theta$$ with the horizontal. A horizontal force of 1 N acts on the block through its centre of mass as shown in the figure. The block remains stationary if (take g = 10 m/s2)

A
$$\theta$$ = 45$$^\circ$$
B
$$\theta$$ > 45$$^\circ$$ and a frictional force ats on the block towards P.
C
$$\theta$$ > 45$$^\circ$$ and a frictional force ats on the block towards Q.
D
$$\theta$$ < 45$$^\circ$$ and a frictional force ats on the block towards Q.
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